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Finding the Fourth Proportional to 158.93, 238.46 and 97.98

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Solution

The fourth proportional to 158.93, 238.46 and 97.98 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.93 : 238.46 = 97.98 : x
  2. Step 2: Convert to fraction form
    158.93/238.46 = 97.98/x
  3. Step 3: Cross multiply
    158.93x = 238.46 × 97.98
  4. Step 4: Simplify right side
    158.93x = 23,363.82
  5. Step 5: Solve for x
    x = 23,363.82/158.93
  6. Step 6: Final answer
    x = 147.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.